JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

EC501PC: ELECTROMAGNETIC THEORY AND TRANSMISSION LINES

B.Tech III Year I Semester (R16)

Course Objectives:

This is a structured foundation course, dealing with concepts, formulations and applications of Electromagnetic Theory and Transmission Lines, and is the basic primer for all electronic communication engineering subjects. The main objectives of the course are

  • To learn the Basic Laws, Concepts and proofs related to Electrostatic Fields and Magnetostatic Fields, and apply them to solve physics and engineering problems.
  • To distinguish between static and time-varying fields, and understand the significance and utility of Maxwell’s Equations and Boundary Conditions, and gain ability to provide solutions to communication engineering problems.
  • To analyze the characteristics of Uniform Plane Waves (UPW), determine their propagation parameters and estimate the same for dielectric and dissipative media.
  • To conceptually understand the UPW Polarization features and Poynting Theorem, and apply them for practical problems.
  • To determine the basic Transmission Line Equations and telephone line parameters and estimate the distortions present.
  • To understand the concepts of RF Lines and their characteristics, Smith Chart and its applications, acquire knowledge to configure circuit elements, QWTs and HWTs, and to apply the same for practical problems.

Course Outcomes

Having gone through this foundation course, the students would be

able to

  • Distinguish between the static and time-varying fields, establish the corresponding sets of Maxwell’s Equations and Boundary Conditions, and use them for solving engineering problems.
  • Analyze the Wave Equations for good conductors and good dielectrics, and evaluate the UPW Characteristics for several practical media of interest.
  • Establish the proof and estimate the polarization features, reflection and transmission coefficients for UPW propagation, distinguish between Brewster and Critical Angles, and acquire knowledge of their applications.
  • Determine the Transmission Line parameters for different lines, characterize the distortions and estimate the characteristics for different lines.
  • Analyze the RF Line features and configure them as SC, OC Lines, QWTs and HWTs, and design the same for effective impedance transformation.
  • Study the Smith Chart profile and stub matching features, and gain ability to practically use the same for solving practical problems. R16 B.TECH ECE.

UNIT - I

Electrostatics: Coulomb’s Law, Electric Field Intensity – Fields due to Different Charge Distributions, Electric Flux Density, Gauss Law and Applications, Electric Potential, Relations Between E and V, Maxwell’s Two Equations for Electrostatic Fields, Energy Density, Illustrative Problems. Convection and Conduction Currents, Dielectric Constant, Isotropic and Homogeneous Dielectrics, Continuity Equation, Relaxation Time, Poisson’s and Laplace’s Equations; Capacitance – Parallel Plate, Coaxial, Spherical Capacitors, Illustrative Problems.

UNIT - II

Magnetostatics: Biot-Savart’s Law, Ampere’s Circuital Law and Applications, Magnetic Flux Density, Maxwell’s Two Equations for Magnetostatic Fields, Magnetic Scalar and Vector Potentials, Forces due to Magnetic Fields, Ampere’s Force Law, Illustrative Problems. Maxwell’s Equations (Time Varying Fields): Faraday’s Law and Transformer EMF, Inconsistency of Ampere’s Law and Displacement Current Density, Maxwell’s Equations in Different Final Forms and Word Statements, Conditions at a Boundary Surface : Dielectric- Dielectric and Dielectric-Conductor Interfaces, Illustrative Problems .

UNIT - III

EM Wave Characteristics - I: Wave Equations for Conducting and Perfect Dielectric Media, Uniform Plane Waves – Definition, All Relations Between E & H, Sinusoidal Variations, Wave Propagation in Lossless and Conducting Media, Conductors & Dielectrics – Characterization, Wave Propagation in Good Conductors and Good Dielectrics, Polarization, Illustrative Problems. EM Wave Characteristics – II: Reflection and Refraction of Plane Waves – Normal and Oblique Incidences for both Perfect Conductor and Perfect Dielectrics, Brewster Angle, Critical Angle and Total Internal Reflection, Surface Impedance, Poynting Vector and Poynting Theorem – Applications, Illustrative Problems.

UNIT - IV

Transmission Lines - I: Types, Parameters, Transmission Line Equations, Primary & Secondary Constants, Expressions for Characteristic Impedance, Propagation Constant, Phase and Group Velocities, Infinite Line Concepts, Losslessness/Low Loss Characterization, Distortion – Condition for Distortionlessness and Minimum Attenuation, Loading - Types of Loading, Illustrative Problems.

UNIT - V

Transmission Lines – II: Input Impedance Relations, SC and OC Lines, Reflection Coefficient, VSWR. UHF Lines as Circuit Elements; λ/4, λ/2, λ/8 Lines – Impedance Transformations, Significance of Z min and Zmax , Smith Chart – Configuration and Applications, Single Matching, Illustrative Problems.

R16 B.TECH ECE.

TEXT BOOKS:

  • 1. Principles of Electromagnetics – Matthew N.O. sadiku and S.V. Kulkarni, 6th Ed., Oxford University Press, Aisan Edition, 2015.
  • 2. Electromagnetic Waves and Radiating Systems – E.C. Jordan and K.G. Balmain, 2nd Ed. 2000, PHI.
  • 3. Transmission Lines and Networks – Umesh Sinha, Satya Prakashan, 2001, (Tech. India Publications), New Delhi.

REFERENCE BOOKS:

  • 1. Engineering Electromagnetics – Nathan Ida, 2 nd Ed., 2005, Springer (India) Pvt. Ltd., New Delhi.
  • 2. Networks, Lines and Fields – John D. Ryder, 2 nd Ed., 1999, PHI.
  • 3. Engineering Electromagnetics – William H. Hayt Jr. and John A. Buck, 7th Ed., 2006, MC GRAW HILL EDUCATION. R16 B.TECH ECE.

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